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mixture

Combine weighted conditional probabilities over exhaustive scenarios.

Contract

Each pair is [scenario_weight, conditional_probability]. Weights sum to one within tolerance. The caller must establish that scenarios are disjoint and exhaustive.

Fields

FieldTypeRequired
branchesarray of array of tuple [Probability, Probability]Yes
op"mixture"Yes

This operation needs no existing question or forecast. Use --memory for a calculation-only session.

Request

Send this object on one line. It is expanded below for readability.

{
  "version": 1,
  "id": "example",
  "command": {
    "op": "mixture",
    "branches": [
      [
        0.5,
        0.2
      ],
      [
        0.5,
        0.8
      ]
    ]
  }
}

Response

This response is generated by executing the example against the current binary. Commit timestamps, when present, are shown as <runtime UTC seconds>; the actual protocol returns integer UTC seconds.

{
  "version": 1,
  "id": "example",
  "result": {
    "probability": 0.5
  }
}

Verification

The documentation gate executes the setup and request, then checks the following result fields against independently specified expectations:

JSON pointer within resultExpected
/probability0.5

Float comparisons use a 1e-12 tolerance. Request schema validation and cross-record validation still apply. See errors and recovery for failure handling.